Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 290/37, 401/2708 quickly i.e. 116290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 290/37, 401/2708 is 116290.
LCM(290/37, 401/2708) = 116290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 290/37,401/2708
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 290,401
Least Common Multiple of Numerators i.e. LCM of 290,401 is 116290.
GCF of Denominators means GCF of 37,2708 as per the given fractions.
GCF of 37,2708 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 290,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 116290
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 290,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,401) x common factors =1 x 1 = 1
LCM(290,401) = ( 290 × 401 ) / 1
LCM(290,401) = 116290 / 1
LCM(290,401) = 116290
Lets's calculate GCF of 37,2708
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116290/1
Therefore the LCM of Fractions 290/37,401/2708 is 116290
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 2708
List of positive integer factors of 2708 that divides 2708 without a remainder.
1,2,4,677,1354,2708
Greatest Common Factor
We found the factors 37,2708 . The biggest common factor number is the GCF number.
So the greatest common factor 37,2708 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 290/37, 401/2708?
Answer: LCM of Numerators as per given numbers 290/37, 401/2708 is
LCM of Numerators i.e. for 290,401 is 116290
GCF of denominators i.e. for 37,2708 is 1.
Thus, LCM of Fractions is 116290.Finally, LCM of Fractions for 290/37, 401/2708 is 116290.